Pith Number

pith:C7HBASJJ

pith:2019:C7HBASJJE5RTJVIHZMZJ3AEU5H

not attested not anchored not stored refs pending

Virtual fundamental classes of derived stacks I

Adeel A. Khan

arxiv:1909.01332 v1 · 2019-09-03 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7HBASJJE5RTJVIHZMZJ3AEU5H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Descendability and descent in topological weaves

Hecke operators on symplectic surfaces and $\chi$-independence

Lectures on algebraic stacks

Functoriality of logarithmic Hochschild homology of log smooth pairs

A Pardon Algebra for Zero-cycles

Receipt and verification

First computed	2026-07-05T00:01:17.929281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ce104929276334d507cb329d8094e9d2fbabf2c83b25e89f712b1f58ddc1ef

Aliases

arxiv: 1909.01332 · arxiv_version: 1909.01332v1 · doi: 10.48550/arxiv.1909.01332 · pith_short_12: C7HBASJJE5RT · pith_short_16: C7HBASJJE5RTJVIH · pith_short_8: C7HBASJJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/C7HBASJJE5RTJVIHZMZJ3AEU5H \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 17ce104929276334d507cb329d8094e9d2fbabf2c83b25e89f712b1f58ddc1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c5f1e3e994f708d3d19bd5facffee8fc8a74793bebef2af0c3b628a6ba4927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-03T17:58:16Z",
    "title_canon_sha256": "08f14491fcd9b7d59d2a02d6208907a94e41bc2dbb048155462ce58d7c048399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01332",
    "kind": "arxiv",
    "version": 1
  }
}